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Finding the Third Proportional to 3,160 and 3,448

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Solution

The third proportional to 3,160 and 3,448 is: 3,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160 : 3,448 = 3,448 : x
  2. Step 2: Convert to fraction form
    3,160/3,448 = 3,448/x
  3. Step 3: Cross multiply
    3,160x = 3,448 × 3,448
  4. Step 4: Simplify right side
    3,160x = 11,888,704
  5. Step 5: Solve for x
    x = 11,888,704/3,160
  6. Step 6: Final answer
    x = 3,762.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.